# NIELIT 2017 OCT Scientific Assistant A - Section A: 5

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Line $AB$ is $24$ metres in length and is tangent to the inner one of the two concentric circles at point $C.$ Points $A$ and $B$ lie on the circumference of the outer circle. It is known that the radii of the two circles are integers. The radius of the outer circle is

1. $13$ m
2. $5$ m
3. $7$ m
4. $4$ m

Option A. 13 m

Inner circle radius would be 5 m

13^2 = 12^2 + 5^2

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